ON AN INEQUALITY RELATED TO THE ISOTONICITY OF THE PROJECTION OPERATOR

Authors
ISAC G PERSSON LE
Citation
G. Isac et Le. Persson, ON AN INEQUALITY RELATED TO THE ISOTONICITY OF THE PROJECTION OPERATOR, Journal of approximation theory, 86(2), 1996, pp. 129-143
Citations number
23
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
86
Issue
2
Year of publication
1996
Pages
129 - 143
Database
ISI
SICI code
0021-9045(1996)86:2<129:OAIRTT>2.0.ZU;2-E
Abstract
In connection to the study of the isotonicity of the projection operat or onto a closed convex set in an ordered Hilbert space, Isac has rece ntly remarked the importance of an inequality named ''the property of four elements'' (PFE). In this paper a sharp inequality closely connec ted to (PFE) is proved in a Banach space setting. The property (PFE), for Lyapunov functionals V is introduced and studied. Some application s are included. (C) 1996 Academic Press, Inc.